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Finding the Fourth Proportional to 13,674.82, 18,871.26 and 7,387.20

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Solution

The fourth proportional to 13,674.82, 18,871.26 and 7,387.20 is: 10,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.82 : 18,871.26 = 7,387.20 : x
  2. Step 2: Convert to fraction form
    13,674.82/18,871.26 = 7,387.20/x
  3. Step 3: Cross multiply
    13,674.82x = 18,871.26 × 7,387.20
  4. Step 4: Simplify right side
    13,674.82x = 139,405,771.87
  5. Step 5: Solve for x
    x = 139,405,771.87/13,674.82
  6. Step 6: Final answer
    x = 10,194.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.